Each graph has been matched with the logarithmic function it represents as follows:
- f(x) = 3 - 4In (x-2) = graph 3.
- f(x) = 3 - Inx = graph 1.
- f(x) = In(x + 1) = graph 4.
- f(x) = 2In(x + 3) = graph 2.
<h3>What is a function?</h3>
A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables.
<h3>The types of function.</h3>
In Mathematics, there are different types of functions and these include the following;
- Piece-wise defined function.
<h3>What is a logarithm function?</h3>
A logarithm function can be defined as a type of function that represents the inverse of an exponential function. Mathematically, a logarithm function is written as follows:
y = logₐₓ
In this exercise, you're required to match each graph with the logarithmic function it represents as shown in the image attached below:
- f(x) = 3 - 4In (x-2) = graph 3.
- f(x) = 3 - Inx = graph 1.
- f(x) = In(x + 1) = graph 4.
- f(x) = 2In(x + 3) = graph 2.
Read more on logarithm function here: brainly.com/question/13473114
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<h2>
Answer:</h2>
Option: D is the correct answer.
D. (2,54)
<h2>
Step-by-step explanation:</h2>
We know that an outlier of a data set is the value that stands out of the rest of the data point i.e. either it is a too high value or a too low value as compared to other data points.
Here we are given a set of data points as:
(2,54)
(4,7)
(6, 9)
(8,12)
(10,15)
Hence, we see that the output values i.e. 7 in (4,7) ; 9 in (6,9) ; 12 in (8,12) and 15 in (10,15) are closely related.
Hence, the data point that is an outlier is:
(2,54)
(As 54 is a much high value as compared to other)
Answer:
7a+b-9c+17d
Step-by-step explanation:
-5 ( a-2b+3c -4d) - (-3) (4a -3b+2c-d)
Distribute
-5a+10b-15c+20d+12a-9b+6c-3d
Combine like terms
7a+b-9c+17d
Answer:
3 1/2 cups
Step-by-step explanation:
24=2
42=x
24x=84
/24 /24
3.5
How sad, that you didn't include the list of choices.
The volume of the cone is (1/3) x (π) x (radius²) .
The volume of the sphere is (4/3) x (π) x (radius³) .